Question

1/4{X-3/2[X-1/2(X+2/3)+2/3]}=X-3/2[2/3(1/4X-1)-1/2]

正确答案是：-20/11 过程是神马
刚才题目抄错了 对不起啊：更正：1/4{X-3/2[X-1/2(X+2/3)+3/2]}=X-3/2[2/3(1/4X-1)-1/2]

Answer 1

1/4{X-3/2[X-1/2(X+2/3)+2/3]}=X-3/2[2/3(1/4X-1)-1/2]
1/4X-3/8[X-1/2(X+2/3)+2/3]=X-(1/4X-1)+3
1/4X-3/8[1/2X-1/3+2/3]=3/4X+4
1/4X-3/8[1/2X+1/3]=3/4X+4
1/4X-3/16X-1/8=3/4X+4
1/16X-1/8=3/4X+4
11/16X=-33/4
X=-12

追问

老师给的答案是-20/11 是不是算错了

追答

验算了，正确啊

追问

刚才题目抄错了 对不起啊：更正：1/4{X-3/2[X-1/2(X+2/3)+3/2]}=X-3/2[2/3(1/4X-1)-1/2]

追答

1/4{X-3/2[X-1/2(X+2/3)+3/2]}=X-3/2[2/3(1/4X-1)-1/2]
1/4X-3/8[X-1/2(X+2/3)+3/2]=X-(1/4X-1)+3
1/4X-3/8[1/2X-1/3+3/2]=3/4X+4
1/4X-3/8[1/2X+7/6]=3/4X+4
1/4X-3/16X-7/16=3/4X+4
1/16X-7/16=3/4X+4
11/16X=-71/4
X=-284/11

不是-20/11啊

Answer 2

1/4{X-3/2[X-1/2(X+2/3)+2/3]}=X-3/2[2/3(1/4X-1)-1/2]
1/4{X-3/2[X-X/2-1/3+2/3]}=X-3/2[X/6-2/3-1/2]
1/4{X-3/2[X/2+1/3]}=X-3/2[X/6-7/6]
1/4{X-3X/4-1/2}=X-X/4+7/4
1/4{X/4-1/2}=3X/4+7/4
X/4-1/2=3X+7
x/4-3x=7+1/2
-11x/4=15/2
-11x=30
x=-30/11

追问

老师给的答案是-20/11 是不是算错了

追答

两个人都算错了？

追问

刚才题目抄错了 对不起啊：更正：1/4{X-3/2[X-1/2(X+2/3)+3/2]}=X-3/2[2/3(1/4X-1)-1/2]

追答

1/4{X-3/2[X-1/2(X+2/3)+3/2]}=X-3/2[2/3(1/4X-1)-1/2]

1/4{X-3/2[X-X/2-1/3+3/2]}=X-3/2[X/6-2/3-1/2]

1/4{X-3/2[X/2+7/6]}=X-3/2[X/6-7/6]
1/4{X-3X/4-7/4}=X-X/4+7/4
1/4{X/4-7/4}=3X/4+7/4
X/16-7/16=3X/4+7/4
X/16-3X/4=7/16+7/4
-11X/16=35/16
x=-35/11
答案跟你说的还是不一样～

Answer 3

1/4{x-3/2[1/2x+1/3]}=x-1/4x+1+3/4
1/4{x-3/4x-1/2}=3/4x+7/4
1/4x-1/2=3x+7
11/4x=-15/2
x=-30/11

追问

老师给的答案是-20/11 是不是算错了

追答

你看看是不是题超错了啊？大家算的都是这个结果啊。。。

追问

刚才题目抄错了 对不起啊：更正：1/4{X-3/2[X-1/2(X+2/3)+3/2]}=X-3/2[2/3(1/4X-1)-1/2]

追答

1/4{x-3/2[1/2x-1/3+3/2]}=x-1/4x+1+3/4
x-3/2[1/2x+7/6]=3x+7
-3/4x-7/4=2x+7
11/4x=-35/4
x=-35/11

答案跟你说的还是不一样～